78734597760 has 384 divisors, whose sum is σ = 334624268160. Its totient is φ = 16612024320.

The previous prime is 78734597749. The next prime is 78734597783. The reversal of 78734597760 is 6779543787.

78734597760 is a `hidden beast` number, since 7 + 8 + 7 + 34 + 597 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 449055 + ... + 599265.

It is an arithmetic number, because the mean of its divisors is an integer number (871417365).

Almost surely, 2^78734597760 is an apocalyptic number.

78734597760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78734597760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167312134080).

78734597760 is an abundant number, since it is smaller than the sum of its proper divisors (255889670400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78734597760 is a wasteful number, since it uses less digits than its factorization.

78734597760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150256 (or 150241 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 63.

The spelling of 78734597760 in words is "seventy-eight billion, seven hundred thirty-four million, five hundred ninety-seven thousand, seven hundred sixty".